(1) Angle ABD \(\,= 60^\circ\)
(2) AC = 12
Answer: C
Source: Manhattan GMAT
If AD is 6 and ADC is a right angle, what is the area of triangular region ABC?
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1) is not sufficient
The left triangle becomes a \(90-30-60\) triangle however we don't know anything about the right triangle. \(\Large{\color{red}\chi}\)
2) is not sufficient
The right triangle becomes a \(90-30-60\) triangle however we don't know anything about the left triangle. \(\Large{\color{red}\chi}\)
Combining \(1 \& 2\) is sufficient
We know both the triangles are \(90-30-60\) with same sides. \(\Large{\color{green}\checkmark}\)
Hence, C
